Abstract
The path equations are derived to describe the nonlinear evolution of thin jets generated by temperature fronts. An approximate approach is based on the thermal rotating shallow-water model that accounts for the effect of the temperature gradient and uses the variational principle of least action. The dynamics of jets is shown to be effectively described by a nonlinear system of two -dimensional partial differential equations. Particular solutions are found in the form of a steady-state meandering jet, a cusped jet, and a two-armed spiral.
- Received 18 May 2021
- Accepted 25 August 2021
DOI:https://doi.org/10.1103/PhysRevFluids.6.103801
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